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Finding the Third Proportional to 299,454.75 and 452,301.75

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Solution

The third proportional to 299,454.75 and 452,301.75 is: 683,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,454.75 : 452,301.75 = 452,301.75 : x
  2. Step 2: Convert to fraction form
    299,454.75/452,301.75 = 452,301.75/x
  3. Step 3: Cross multiply
    299,454.75x = 452,301.75 × 452,301.75
  4. Step 4: Simplify right side
    299,454.75x = 204,576,873,053.06
  5. Step 5: Solve for x
    x = 204,576,873,053.06/299,454.75
  6. Step 6: Final answer
    x = 683,164.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.